3(2H-14)=4(H-5)

Solution for 3(2H-14)=4(H-5) equation:

Simplifying
3(2H + -14) = 4(H + -5)

Reorder the terms:
3(-14 + 2H) = 4(H + -5)
(-14 * 3 + 2H * 3) = 4(H + -5)
(-42 + 6H) = 4(H + -5)

Reorder the terms:
-42 + 6H = 4(-5 + H)
-42 + 6H = (-5 * 4 + H * 4)
-42 + 6H = (-20 + 4H)

Solving
-42 + 6H = -20 + 4H

Solving for variable 'H'.

Move all terms containing H to the left, all other terms to the right.

Add '-4H' to each side of the equation.
-42 + 6H + -4H = -20 + 4H + -4H

Combine like terms: 6H + -4H = 2H
-42 + 2H = -20 + 4H + -4H

Combine like terms: 4H + -4H = 0
-42 + 2H = -20 + 0
-42 + 2H = -20

Add '42' to each side of the equation.
-42 + 42 + 2H = -20 + 42

Combine like terms: -42 + 42 = 0
0 + 2H = -20 + 42
2H = -20 + 42

Combine like terms: -20 + 42 = 22
2H = 22

Divide each side by '2'.
H = 11

Simplifying
H = 11